# A triangle has corners at #(-4 ,2 )#, #(7 ,1 )#, and #(2 ,-7 )#. If the triangle is dilated by a factor of #2/5 # about point #(-1 ,4 ), how far will its centroid move?

##### 1 Answer

the centroid will move by about

#### Explanation:

the solution:

the centroid of the given triangle is at

the reference point is at

Let the unknown new centroid be at

By segment division method

Also

The old centroid is at

The new centroid is at

how far did the centroid move ?

God bless.... I hope the explanation is useful.